What is the Greatest Common Factor of 66709 and 66728?

Greatest common factor (GCF) of 66709 and 66728 is 19.

GCF(66709,66728) = 19

We will now calculate the prime factors of 66709 and 66728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66709 and 66728.

How to find the GCF of 66709 and 66728?

We will first find the prime factorization of 66709 and 66728. After we will calculate the factors of 66709 and 66728 and find the biggest common factor number .

Step-1: Prime Factorization of 66709

Prime factors of 66709 are 19, 3511. Prime factorization of 66709 in exponential form is:

66709 = 19¹ × 3511¹

Step-2: Prime Factorization of 66728

Prime factors of 66728 are 2, 19, 439. Prime factorization of 66728 in exponential form is:

66728 = 2³ × 19¹ × 439¹

Step-3: Factors of 66709

List of positive integer factors of 66709 that divides 66709 without a remainder.

1, 19, 3511

Step-4: Factors of 66728

List of positive integer factors of 66728 that divides 66709 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 439, 878, 1756, 3512, 8341, 16682, 33364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66709 and 66728. The biggest common factor number is the GCF number.
So the greatest common factor 66709 and 66728 is 19.

Also check out the Least Common Multiple of 66709 and 66728